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56880384 = 283116733
BaseRepresentation
bin1101100011111…
…0110100000000
310222000211012220
43120332310000
5104030133014
65351051040
71260322011
oct330766400
9128024186
1056880384
112a120090
1217070a80
13ba27042
1477a9008
154ed86a9
hex363ed00

56880384 has 72 divisors (see below), whose sum is σ = 165171552. Its totient is φ = 17233920.

The previous prime is 56880377. The next prime is 56880389. The reversal of 56880384 is 48308865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56880389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5082 + ... + 11814.

Almost surely, 256880384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82585776).

56880384 is an abundant number, since it is smaller than the sum of its proper divisors (108291168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56880384 is a wasteful number, since it uses less digits than its factorization.

56880384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 56880384 is about 7541.9085117760. The cubic root of 56880384 is about 384.5807185658.

The spelling of 56880384 in words is "fifty-six million, eight hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6733 8448 13466 20199 26932 40398 53864 74063 80796 107728 148126 161592 215456 222189 296252 323184 430912 444378 592504 646368 861824 888756 1185008 1292736 1723648 1777512 2370016 2585472 3555024 4740032 5170944 7110048 9480064 14220096 18960128 28440192 56880384